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Kobotan [32]
3 years ago
8

A store is having a sale where school supplies are 30% off their original price. A backpack is on sale for $11.20. What was the

original price for the backpack?
Mathematics
1 answer:
Mrac [35]3 years ago
7 0
To find the original price, you could use a variable to represent the original price in this equation;

Let p represent the original price

.70 × p=11.20

to solve this, we'd isolate the variable (p) 

p=11.20 ÷.70

p=16

The original price was $16
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Please can someone help me on this I’m trying to revise for my test and I don’t understand this question
docker41 [41]

Answer:

∠ EAB = 85°

Step-by-step explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

5 0
2 years ago
Read 2 more answers
A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32
vovangra [49]

The number of days for both Companies to have the same total amount is

6.4 days

<h3>Word Problem leading to Algebraic expression</h3>

 

Given Data

  • Let the total payment be y
  • Let the number of days be x

Company A

  • Charges per day = $57
  • Flat fee = $32

y = 57x+ 32 -----------------1

Company B

  • Charges per day = $62
  • Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

brainly.com/question/13818690

5 0
2 years ago
The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun
VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:

"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.

We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:

P_{American}=$2.00*A

And the profit for the British blend is found by using the following equation:

P_{British}=$1.00*B

so the total profit is found by adding the two given profits, so we get:

P_{total}=P_{American}+P_{British}

or

P_{total}=$2.00A+$1.00B

which can be simplified to:

P=2A+B

which is our objective function.

6 0
3 years ago
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!! (image attatched)
alexgriva [62]
The answer would be the first one
4 0
3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=4%20%2B%20%20%5Cfrac%7B3%7D%7B7%7Dx%20-%202%20-%20%20%5Cfrac%7B2%7D%7B7%7Dx%20%20
Sloan [31]

4 + \frac{3}{7}x - 2 - \frac{2}{7}x\\\\\text{combine like terms}\\\\\left(\dfrac{3}{7}x-\dfrac{2}{7}x\right)+(4-2)=\dfrac{3-2}{7}x+2=\boxed{\dfrac{1}{7}x+2}

6 0
3 years ago
Read 2 more answers
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